Terms

Q.

Divide the given polynomial by the given monomial: $(5X^2-6x)÷3x$

Q.

Divide the given polynomial by the given monomial :

$(x^3+2x^2+3x)÷2x$

Q.

The terms which have the same literal coefficients are called _________ terms.

Q.

Write the numerical coefficient of :-

(c) abc

Q.

Identify the terms and their factors in the following expressions show the terms and factors by tree diagrams.

$y-y^3$

Q.

The terms of expression $4x^2–3xy$ are:

1. $4x^2$ and $–3xy$

2. $4x^2$ and $3xy$

3. $4x^2$ and $-xy$

4. $x^2$ and $xy$

Q.

Question 1(iv)
Identify the terms, their coefficients for the following expression:
$3-pq+qr-rp$

Q.

Write the number of terms in each of the following polynomials.

(i) $5x^2+3\times ax\left(ii\right)ax÷4-7\left(iii\right)ax-by+y\times z\left(iv\right)23+a\times b÷2$

Q.

What are the main concepts of algebraic expressions and identities

Q.

State whether the statement given is True or False:

In like terms, the numerical coefficients should also be the same.

1. True
2. False

Q. Identify the constant term in the expression $7x-8.$

1. 8
2. -8
3. 7
4. $7x$

Q.

Question 1(ii)
Identify the terms, their coefficients for the following expression:
$1+x+x^2$

Q.

Question 53

Number of terms in the expression $a^2+bc\times d$ is ___

Q. Question 1(i)
Find the common factors of the given terms.
$12x,36$

Q.

Check whether the first polynomial is a factor of the second polynomial by dividing second polynomial by the first polynomial.
$x^2+3x+1,3x^4+5x^3-7x^2+2x+2$

Q.

Write the terms and the numerical coefficient of each term of the expression $24abc+5d-2a$.

Q. What is the numerical coefficient in the term $-6ax{y}^2?$

1. $6a$
2. $-6a$
3. $-6ax$
4. $6ax$

Q.

Question 53

Number of terms in the expression $a^2+bc\times d$ is ___

Q.

Separate the constants and variables from the following:

Q. State true or false.
If a polynomial p(x) is of degree “n”, the graph of the polynomial should cut the X axis at “n” points.

1. False
2. True

Q.

Question 63

In the following question, state whether the statement is True (T) or False (F):

The product of one negative and one positive term is a negative term.

Q.

Coefficients of like terms need to be the same.

1. True

2. False

Q.

Write the terms and factors of each term in the given algebraic expression.

$14a^{3}b-12a{b}^3$

Q.

Identify the terms, coefficients, and constants :$12a-6b+4$

Q.

List the factors of the following algebraic expressions.

$4xyz$

Q.

Which is the expression with numbers only.

$3x$

Q.

Write the numerical coefficient in each of the given expression.
$x/5$

Q.

Write all the terms of each of the following algebraic expression :

$3+7x-4x^2-5xy$

Q. Write the numerical coefficient of each term in the following algebraic expressions:
$4x^{2}y-\frac{3}{2}xy+\frac{5}{2}x{y}^2$
$-\frac{5}{3}{x}^{2}y+\frac{7}{4}xyz+3$

Q.

Check whether g(x) is a factor of p(x) by dividing p(x) by g(x) in below given data :

p(x)= $x^5+11x-12$, g(x) = $x^2-2x+3$